Question

Which expression is equivalent to -9(3y + 5) - 3y

Answer 1

There are many expressions that are equivalent to the given expression. Nevertheless, we can find a fully simplified equivalent expression by using the properties of real numbers.

Starting with the given expression:

`-9(3y+5)-3y`

Use the distributive property to expand the parenthesis:

`\begin{gathered} -9(3y+5)-3y=-9(3y)-9(5)-3y \\ =-27y-45-3y \end{gathered}`

Then, combine like terms -27y and -3y by adding their coefficients:

`-27y-45-3y=-30y-45`

Therefore, the given expression is equivalent to:

`-30y-45`